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arXiv 0710.2884math.MGmath.CO
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Urysohn球是振荡稳定的

The Urysohn sphere is oscillation stable

L. Nguyen Van Thé, N. W. Sauer

摘要:

我们解决了Urysohn球的振荡稳定性问题,Urysohn通用度量空间的背景下,希尔伯特空间的失真问题的模拟。这是通过解决一个纯粹的组合问题,涉及一个家庭的可数齐性度量空间与许多距离。

英文摘要:

We solve the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for the Hilbert space in the context of the Urysohn universal metric space. This is achieved by solving a purely combinatorial problem involving a family of countable homogeneous metric spaces with finitely many distances.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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